felicityue,
1) Is it Giant that you mean? I actually have one just one MRT stop from me, in Bedok. I had some fun in there

but still no luck with baskets (I'm trying to find stuff like you'd find in Target)
2) No, still didn't find a playgroup or daycare center. I feel so bad for him. He soooo misses his friends, and is dying to make new ones. I just don't take any decision lightly when it involves the care of my son, and the money paid to do it (not that anyone does, of course!). But a playgroup is an easier decision, 'cause I can be there.
a) Re: St. Georges Church: Do you know if that playgroup involves kids in the 3 yr range?
b) Do you know if it's near an MRT station? (if you don't know, no biggie - I'll look it up in the phone book)
3) Have you tried Baby Town Singapore? Their website is:
http://www.babytown.com.sg/index.html I haven't used them, but they seem to have a ton of stuff (and they deliver!). They even have some links at top for people to buy/sell items. Another one I stumbled upon is:
http://www.nmsg-singapore.com/NoticeBoard-LISTING.html
4) I *don't* get out without a stroller!

After being here for three weeks, and dragging my poor son on foot everywhere (our usual stroller is WAY too big to use in malls/MRT's) I realized that we really needed to buy a more city friendly stroller. I did some heavy research and found exactly what I was looking for. Heck, the lady at the store even let me test drive it on the escalator outside her store (I was extremely nervous, since in the U.S. they don't allow strollers on escalators). She came with me and showed me how to do it (w/him in it). And now that I've done it a few billion times

it's a piece of cake). Btw...that Baby Town Singapore store has a bunch of strollers priced from $25 all the way to $799.